[go: up one dir, main page]

Search a number
-
+
10620000 = 25325459
BaseRepresentation
bin101000100000…
…110001100000
3201222112220100
4220200301200
510204320000
61015342400
7156161046
oct50406140
921875810
1010620000
115aa3a66
123681a00
13227ab31
1415a6396
15deba00
hexa20c60

10620000 has 180 divisors, whose sum is σ = 38378340. Its totient is φ = 2784000.

The previous prime is 10619989. The next prime is 10620007. The reversal of 10620000 is 2601.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×106200002 = 225568800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10620007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 179971 + ... + 180029.

It is an arithmetic number, because the mean of its divisors is an integer number (213213).

Almost surely, 210620000 is an apocalyptic number.

10620000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19189170).

10620000 is an abundant number, since it is smaller than the sum of its proper divisors (27758340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10620000 is an equidigital number, since it uses as much as digits as its factorization.

10620000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10620000 is about 3258.8341473601. The cubic root of 10620000 is about 219.8069932585.

Adding to 10620000 its reverse (2601), we get a palindrome (10622601).

The spelling of 10620000 in words is "ten million, six hundred twenty thousand".